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SSC Quantitative Aptitude Partnership Question Bank Partnership (I)

  • question_answer
    In a business partnership among A, B, C and D, the profit is shared as follows \[\frac{\text{A }\!\!'\!\!\text{ s}\,\,\text{share}}{\text{B }\!\!'\!\!\text{ s}\,\,\text{share}}\text{=}\frac{\text{B }\!\!'\!\!\text{ s}\,\,\text{share}}{\text{C }\!\!'\!\!\text{ s}\,\,\text{share}}\text{=}\frac{\text{C }\!\!'\!\!\text{ s}\,\,\text{share}}{\text{D }\!\!'\!\!\text{ s}\,\,\text{share}}=\frac{1}{3}\] If the total profit is Rs. 400000, the share of C is [SSC CGL Tier II, 2010]

    A) Rs. 112500

    B) Rs. 137500

    C) Rs. 90000

    D) Rs. 270000

    Correct Answer: C

    Solution :

    [c] Given,          A : B = 1 : 3. B : C = 1 : 3 = 3 : 9 C : D = 1 : 3 = 9 : 27 Now, by joining the above three ratios, we get A : B : C : D = 1 : 3 : 9 : 27 Sum of the ratios \[=1+3+9+27=40\] \[\therefore \] C's share in profit \[=\frac{9}{40}\times 400000\] = Rs. 90000


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